if y = 3/5x + 29 find the value of y when x= 12​

Answer:

33

Step-by-step explanation:

I just took the test :)

Answer:

AC = 33°

Step-by-step explanation:

Given:

Arc AC = (7x - 2)°

m<ABC = (2.5x + 4)°

Required:

Measure of arc AC

Solution:

Based on the inscribed angle theorem,

m<ABC = ½(AC)

Substitute

2.5x + 4 = ½(7x - 2)

Multiply both sides by 2

2(2.5x + 4) = 7x - 2

5x + 8 = 7x - 2

Collect like terms

5x - 7x = -8 - 2

-2x = -10

Divide both sides by -2

x = -10/-2

x = 5

✔️Arc AC = (7x - 2)°

Substitute the value of x

AC = 7*5 - 2

AC = 35 - 2

AC = 33°

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

Step-by-step explanation: I don't understand what 4x 10 is so I cannot solve a for you.

b) 6.5+x=19 x=19-6.5=12.5

c)8x-12=96 8x=108 x=13.5

d) Sorry but I don't know what 2x 5 = 5 is so I can't help you with this one.

e) 2(x+4)=37 x+4=18.5 x=14.5

So based on what I can interpret from the question, b is correct

Answer:

r = 4

Step-by-step explanation:

2r = 13 + -5

2r = 8

r = 4

Hope that helps!

Answer:

the answer is going to be D. (3,4,5,8,9,3)

the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

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Answer:

no

Step-by-step explanation:

the probability that preparation is within 2 minutes of the mean time is 0.134.

An illustration of a probability distribution shows the anticipated results of potential values for a specific data generation procedure.

Axiomatic, theoretical and experimental are the three types of probability.

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

Using cumulative functi0n we get

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

=\(\frac{37-20}{50-20}-\frac{33-20}{50-20}\\ =0.567-0.433\\=0.134\)

Thus the probability that preparation is within 2 minutes of the mean time is 0.134.

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Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

measure horizontally

measure vertically

measure depth..

Answer:

It would take 19 hours and 36 minutes until there are 1040 bacteria present.

Step-by-step explanation:

Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:

610X = 1040

X = 1040/610

X = 1.7049

2 = 23

1.7049 = X

1.7049 x 23/2 = X

39.2131 / 2 = X

19.6 = X

100 = 60

60 = X

60 x 60/100 = X

36 = X

Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.

The simplified Expression of 2.5 x 10² / 5 x \(10^{-5}\) is 5 x \(10^6\).

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.

Given:

2.5 x 10² / 5 x \(10^{-5}\)

Now, using Exponents and powers

\(a^{-m}\) = 1/ \(a^m\)

So, 2.5 x 10² / 5 x \(10^{-5}\)

= 2.5 /5 x \(10^{2-(-5)}\)

= 25/50 x \(10^{2+5]\)

= 1/2 x \(10^7\)

= 0.5 x \(10^7\)

= 5 x \(10^6\)

Hence, the simplified Expression is 5 x \(10^6\).

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Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

11. AREA=AREA 9F RECTANGLE +AREA OF SEMICIRCLE

AREA=LW+0.5pie×r²

r=18in/2=8in

Area=18in×36in+0.5×3.14×(9in)²

Area=648in²+127.17in²

Area=775.17in²

area=775.2in²

12. Area of the shaded region=Area of rectangle-area of semicircle

r=5in/2=2.5in

=LW-0.5pie×r²

=6in×5in-0.5×3.14×(2.5in²)

=30in²-9.8124in²

=20.2in²

hope it helped, please mark me brainliest

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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Answer:1/2 / 7/8 = 8/14 = 4/7

Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7

The diagonal of a rectangle with a width of 12 units and a length of 16 units is 20 units

From the question, we are to determine the length of the diagonal of the rectangle

From the given information,

The width of the rectangle is 12 units

and

The length of the rectangle is 16 units,

The diagonal, D, of a rectangle is given by

D = √(l² + w²)

Where l is the length of the rectangle

and w is the width of the rectangle

l = 16

w = 12

Thus,

The diagonal of the rectangle is

D = √(16² + 12²)

D = √(256 + 144)

D = √400

D = 20

Hence, the diagonal is 20 units

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Answer:

= 114/8-56/8

= 14.25-56/8

= 14.25-7

= 7.25

Step-by-step explanation:

This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.

I hope this helps!!

Answer:

46/8 is the answer

hope it help

The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer: f(x)=2^x+5

Step-by-step explanation:

math

Answer:

134.16 meters and length of shadow is 268.33 meters

Step-by-step explanation:

Applying Pythagoras. Let the the distance from the end of the shadow to building top be the hypotenuse side 300 meter, building height be X and the adjacent be the shadow length which is twice the height of the building 2XTherefore from Pythagoras theorem:Squared of hypotenuse side= to sum of squares of the other sidesC^2= a^2+b^2300*2= X^2+2X^290000= 5X^2X^2= 90000/5X^2=18000X= 134.16 meters2X = 268.33 metersTherefore the height of building is 134.16 meters and length of shadow is 268.33 meters

The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

From the question, we have the following parameters that can be used in our computation:

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

164/7 in decimals

Step-by-step explanation:

2x-3+5x-13

7x=164

x=164/7

use your calculator to find the 164/7

Lrt x be the price of the item she purchased

7% of x = $38.36

(7/100 ) x = 38. 36

7x/100 = 38.36

multiply both-side of the equation by 100

7x = 3836

Divide both-side of the equation by 7

x=548

The price was $548

Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.